A084748 Primes of the form n! + p where p is the smallest prime > n.

3, 5, 11, 29, 127, 727, 5051, 3628811, 8683317618811886495518194401280000037, 2658271574788448768043625811014615890319638528000000047, 12413915592536072670862289047373375038521486354677760000000053

Offset

1,1

Comments

Let a term k! + p = prime(r) then prime(r) -prime(r-1) >=p-1.

Links

Table of n, a(n) for n=1..11.

Formula

a(n) = A084749(n)!+A007918(A084749(n)+1). - David Wasserman, Jan 04 2005

Example

727 = 6! + 7 belongs to this sequence but 8! +11 is composite and is not a member.

Crossrefs

Cf. A084749.

Sequence in context: A000101 A253899 A037152 * A265784 A146243 A262936

Adjacent sequences: A084745 A084746 A084747 * A084749 A084750 A084751

Keyword

nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 16 2003

Extensions

More terms from David Wasserman, Jan 04 2005

Status

approved